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Finding the Fourth Proportional to 1,435.72, 2,152.14 and 704.20

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Solution

The fourth proportional to 1,435.72, 2,152.14 and 704.20 is: 1,055.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.72 : 2,152.14 = 704.20 : x
  2. Step 2: Convert to fraction form
    1,435.72/2,152.14 = 704.20/x
  3. Step 3: Cross multiply
    1,435.72x = 2,152.14 × 704.20
  4. Step 4: Simplify right side
    1,435.72x = 1,515,536.99
  5. Step 5: Solve for x
    x = 1,515,536.99/1,435.72
  6. Step 6: Final answer
    x = 1,055.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.